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Critical phase of bond percolation on growing networks

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タイトル: Critical phase of bond percolation on growing networks
著者: Hasegawa, Takehisa 著作を一覧する
Nemoto, Koji 著作を一覧する
発行日: 2010年 5月
出版者: American Physical Society
誌名: Physical review E
巻: 81
号: 5
開始ページ: 051105
出版社 DOI: 10.1103/PhysRevE.81.051105
抄録: The critical phase of bond percolation on the random growing tree is examined. It is shown that the root cluster grows with the system size N as Nψ and the mean number of clusters with size s per node follows a power function ns ∝ s(-τ) in the whole range of open bond probability p. The exponent τ and the fractal exponent ψ are also derived as a function of p and the degree exponent γ and are found to satisfy the scaling relation τ=1 + ψ^[-1]. Numerical results with several network sizes are quite well fitted by a finite-size scaling for a wide range of p and γ, which gives a clear evidence for the existence of a critical phase.
Rights: ©2010 The American Physical Society
資料タイプ: article
出現コレクション:雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

提供者: 根本 幸児


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